3725311564800 has 2640 divisors, whose sum is σ = 17266217177088. Its totient is φ = 773967052800.

The previous prime is 3725311564739. The next prime is 3725311564801. The reversal of 3725311564800 is 84651135273.

It is a happy number.

3725311564800 is a `hidden beast` number, since 3 + 7 + 2 + 5 + 3 + 1 + 1 + 564 + 80 + 0 = 666.

It is a super-3 number, since 3×3725311564800³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3725311564801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7649510157 + ... + 7649510643.

Almost surely, 2^{3725311564800} is an apocalyptic number.

3725311564800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3725311564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633108588544).

3725311564800 is an abundant number, since it is smaller than the sum of its proper divisors (13540905612288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3725311564800 is a wasteful number, since it uses less digits than its factorization.

3725311564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 3725311564800 in words is "three trillion, seven hundred twenty-five billion, three hundred eleven million, five hundred sixty-four thousand, eight hundred".